One positive number is one-fifth of another number. The difference between the two numbers is 328, find
the numbers.

Answers

Answer 1

Answer:

The numbers are 410 , 82

Step-by-step explanation:

Let the another number be x

Positive number = [tex]\frac{1}{5}x[/tex]

Their difference = 328

[tex]x - \frac{1}{5}x=328\\\\\frac{x*5}{1*5}-\frac{1}{5}x=328\\\\\frac{5x-x}{5}=328\\\\\frac{4x}{5}=328\\\\x=328*\frac{5}{4}\\\\x=82*5\\[/tex]

x = 410

Positive number = [tex]\frac{1}{5}*410=82[/tex]

The numbers are 410 , 82


Related Questions

The volume of a cube with sides of length s is given by V = s^3. Find the rate of change of the volume with respect to s when s = 8 centimeters.​

Answers

Answer:

[tex]V'(8)=192\text{ cm}^2[/tex]

Step-by-step explanation:

We have the volume of a cylinder:

[tex]V=s^3[/tex]

To find the rate of change of the volume with respect to s, we will take the derivative of both sides with respect to s. So:

[tex]\frac{d}{ds}[V]=\frac{d}{ds}[s^3][/tex]

Differentiate. Use the power rule:

[tex]V'(s)=3s^2[/tex]

So, to find the rate of change of the volume when s is 8 centimeters, substitute 8 for s:

[tex]V'(8)=3(8)^2[/tex]

Evaluate:

[tex]V'(8)=192\text{ cm}^2[/tex]

h(2)=-2²+6(2) the question has to be 20 characters long so I'm just adding this​

Answers

The answer is 16 good luck

The rectangle below has an area of 8x^5+12x^3+20x^28x 5 +12x 3 +20x 2 8, x, start superscript, 5, end superscript, plus, 12, x, cubed, plus, 20, x, squared. The width of the rectangle is equal to the greatest common monomial factor of 8x^58x 5 8, x, start superscript, 5, end superscript, 12x^312x 3 12, x, cubed, and 20x^220x 2 20, x, squared.

Answers

The question is incomplete. Here is the complete question.

The rectangle bleow has an area of [tex]8x^{5}+12x^{3}+20x^{2}[/tex]. The width of the rectangle is equal to the greatest common monomial factor of [tex]8x^{5},12x^{3},20x^{2}[/tex]. What is the length and width of the rectangle?

Answer: width = [tex]4x^{2}[/tex]

              length = [tex]2x^{3}+3x+5[/tex]

Step-by-step explanation: Greatest common factor is the largest number that will divide into that number without rest, i.e., it's a number that will result in an exact division. The same can be applied to a polynomial.

To find the greatest common factor:

1) Write each in prime factored form:

2.2.2.x.x.x.x.x + 2.2.3.x.x.x + 2.2.5.x.x

2) Identify the common factor among the terms:

For this polynomial, the repetitive factor is [tex]4x^{2}[/tex]

Therefore, the width of the rectangle is:

w = [tex]4x^{2}[/tex]

Area of a rectangle is the multiplication of width and length, so:

[tex]A=w*l\\l=\frac{A}{w}[/tex]

To calculate length, we will have to divide polynomials:

[tex]l=\frac{8x^{5}+12x^{3}+20x^{2}}{4x^{2}}[/tex]

[tex]l = 2x^{3}+3x+5[/tex]

Width and length of the rectangle are 4x² and [tex]2x^{3}+3x+5[/tex], respectively.

A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at $1.81 per pound. He estimates that this will make 28 meals. If he charges $20 per meal, how much profit will he make for each meal?

Answers

Answer:

Profit = $18.8 per meal

Step-by-step explanation:

Chef ordered beef = 4 pounds

Cost of beef = $3.25 per pound

Total cost of beef = 4 × 3.25 = $13

Amount of potatoes ordered = 6 pounds

Cost of potatoes = $1.96 per pound

Total cost of potatoes = 6 × 1.96

                                     = $11.76  

Amount of carrots ordered = 5 pounds

Cost of carrots = $1.81 per pound

Total cost of carrots = 5 × 1.81 = $9.05

Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05

                                                                        = $33.81

Number of meals prepared with material purchased = 28

Per meal cost = [tex]\frac{33.81}{28}[/tex] = $1.2075

Selling price of one meal = $20

Profit per meal = Selling price - Cost price

                         = 20 - 1.2075

                         = 18.7925

                         ≈ $18.8

Therefore, he will make $18.8 for each meal.

what is the simplest form of 8y-4x=-56 ?​

Answers

About the only thing you can do with it is divide both sides by 4.

Then you have

2y - x = -14

x²+3x−10=0x
lesser x=
greater x=
please help me
i will give brainleist

Answers

Answer:  x=-5  x=2

Step-by-step explanation:

x^2+5x-2x-10=0  factor out x from the expression

Xx(x+5)-2x-10=0   factor out x+5 from the expression

(x+5)x(x-2)=0 when the product of factors equals 0, at least one factor is 0

x+5=0   solve for the equation x

x-2=0

       x=-5

      x=2

can you solve this? :-5x =25

Answers

Answer:

5

Step-by-step explanation:

-5x =25x      

-5 -5

you divide both sides by -5

and you get x=5

hunn please click thanks button

The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is ŷ = 1.7 + 1.48t. Statler wanted to predict the weight of a kitten at 10 weeks. What is this an example of, and is this method a best practice for prediction? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

The mentioned relationship for the weight, in pounds, of the kitten with respect to time, in weeks, is

[tex]\hat y =1.7 +1.48t[/tex]

Weight of the kitten after 10 weeks

[tex]\hat y =1.7 +1.48\times 10[/tex]

[tex]\hat y =16.5[/tex] pounds

This modeled equation is based on the observation of the early age of a kitten where the kitten is in its growth period, but in the early stage the growth rate in the weight of the kitten was the same but the growth of any living beings continues till the adult stage. So, after some time, in real life situation, this weekly change in weight will become zero, So, this model is not suitable to measure the weight of the kitten over the larger time period.

Here, t= 10 weeks is nearby the observed time period, so the linearly modeled equation can be used to predict the weight.

Hence, the weight of the kitten after 10 weeks is 16.5 pounds.

11 1 point Jannet used 155 beads to create 5 necklaces. How many beads did she use to create 9 necklaces?​

Answers

Answer:

155 bead to create 5 necklace therefore for 9 bead we should divide 155 by 5 and multiply the answer by 9

=155/5*9

=31*9

=279

If f(x) = 10x + 3 what is the value of x when f(x) =19

Answers

Answer:

x =  1/ 10 y +  −3 /10

Step-by-step explanation:

Let's solve for x.

y = 10x + 3

Step 1: Flip the equation.

10x + 3 = y

Step 2: Add -3 to both sides.

10x + 3 + −3 = y + −3

10x = y −3

Step 3: Divide both sides by 10.

10/10x  =  y −3/ 10

x =  1 /10 y +  −3 /10

Therefore the answer is

x =  1/ 10 y +  −3 /10

Please Mark Brainliest

Hope This Helps!

Jaida has $200 to spend on flowers for a school celebration. She decides that the only flowers that she wants to buy are roses and carnations. Roses cost $1.45 each and carnations cost $0.65 each. Jaida buys enough roses so that each of the 75 people attending the event can take home at least one rose. Write an inequality to represent the cost constraint.

Answers

Answer:

[tex]1.45x+0.65y\leq 200[/tex]

Here, [tex]x[/tex] denotes the number of roses used for a school celebration and [tex]y[/tex] denotes the number of carnations used for a school celebration.

Step-by-step explanation:

Let [tex]x[/tex] denotes the number of roses used for a school celebration and [tex]y[/tex] denotes the number of carnations used for a school celebration.

Cost of 1 rose = $1.45

Cost of [tex]x[/tex] roses = [tex]\$1.45x[/tex]

Cost of 1 carnation = $0.65

Cost of [tex]y[/tex] roses = [tex]\$0.65y[/tex]

Total cost spend on flowers = [tex]1.45x+0.65y[/tex]

Total amount with Jaida = $200

So,

the inequality to represent the cost constraint is [tex]1.45x+0.65y\leq 200[/tex]

Amelia practices the piano 980 minutes in 4 weeks. At what rate did she practice, in minutes per day?

Answers

Answer:

35 minutes a day.

Step-by-step explanation:

4*7=28

980/28=35

Answer:

35

Step-by-step explanation:

980 divided by 28 (days in a month)

Which of the statements below is a true statement about irrational numbers?
A.Irrational numbers are numbers whose decimal equivalent is repeating and non-terminating.
B.Irrational numbers are numbers whose decimal equivalent is non-repeating and terminating.
C.Irrational numbers are numbers whose decimal equivalent is repeating and terminating.
D.Irrational numbers are numbers whose decimal equivalent is non-repeating and non-terminating.

Answers

Answer:

b

Step-by-step explanation:

Irrational numbers are numbers whose decimal equivalent is non-repeating and terminating.

Which equation represents a line that passes through (5, 1) and has a slope of 1/2?

y-5= 1/2(x-1)

y-1/2=5(x-1)

y-1=1/2(x-5)

y-1=5[x-1/2]​

Answers

Step-by-step explanation:

Hey there!

The given point is (5,1) and slope is 1/2.

Let's use one point formula for finding the eqaution.

[tex](y - y1) = m(x - x1)[/tex]

Keep all values.

[tex](y - 1) = \frac{1}{2} (x - 5)[/tex]

This matches with Option C,

So, your answer is Option C.

Hope it helps...

which number is a perfect cube 25 36 100 64

Answers

Answer:

The answer is 64

Step-by-step explanation:

A perfect cube is a number that is the cube of an integer. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..

find the value of x - PLEASE HELP

I need to show my work -

Thank you!!

Answers

Answer:

360=297+(x-36)+25

360=297+25-36+x

360=286+x

360-286=x

74=x

Answer:

x = 74 degree

Step-by-step explanation:

All those angles must add up to 360 degrees:

360 degrees  =  (297 + x - 36 + 25) deg, or

360 = 297 - 36 + 25 + x, or

x = 74 degrees

Which shows how to best estimate the product of 0.4 x 0.93?

0 x 1 = 0
0.5 x 0.5 = 0.25
0.5 x 1 = 0.5
1 x 1 = 1

Answers

Answer:

b

Step-by-step explanation:

Answer:

C. 0.5 times 1 = 0.5

What is the value of b in this diagram?
A. 12
B. 10.2
C. 9
D. 8​

Answers

Answer:

It is NOT c

Step-by-step explanation:

I clicked c and it was wrong lol.

Answer:

its D

Hope this helps ⊂◉‿◉つ

A different store needs to make at least $20,000 to make a profit in March. They average $685 a day for the month. James used rounding and estimation to say, "$685 is almost $700. $700 × 30 days is $21,000. I think it is going to be a close call!" What do you think?

Answers

Answer: James is right

Step-by-step explanation:

Since they average $685 a day for the month. This means for the month, they'll make:

= $685 × 30

= $20,550

Approximating $20,550 will give $21000 and since James used rounding and estimation to say, "$685 is almost $700 and $700 × 30 days is $21,000. James is quite correct.

PLEASE ANSWER QUICK leggings are 54.95 they are 30% off how much are they?

Answers

Answer:

$38.47

Step-by-step explanation:

i did the math on it

I need helps please and ty​

Answers

Answer:

y=7x+4

Step-by-step explanation:

Values of x and y satisfy the equation y=7x+4

Please Help!

Subtract.

(2x^4−x^2+5x−2)−(−x^4+3x^3+2x^2−1)

Answers

Answer:

Heya!!

here's your answer

3x^4 − 3x^3 − 3x^2 + 5x −1

2 trapezoids are shown. Trapezoid 1 has points A (negative 7, 0), B (negative 5, 3), C (negative 1, 3), and D (negative 1, 0). Trapezoid 2 has points A prime (1, negative 3), B prime (3, 0), C prime (7, 0), and D prime (7, negative 3).
Which rule describes the translation?

Answers

Answer:

The answer is C

Step-by-step explanation:

Because I said so

Answer:

C. (x, y) -> (x + 8, y - 3)

Step-by-step explanation:

Hope this helps! :D

Explain answers I need it now plz

Answers

Answer:

B

Step-by-step explanation:

The basket is a base price of 5 dollars so there is no x, the basket can't go up in price nor down.

The cookies can though, you can either buy 1 or you can buy 50. Your final answer must be 31.

2x + 5 = 31  

     - 5    -5

2x = 26

÷2 .  ÷2

x = 13  

Camillo needs 2,400 oz of peanut butter.

What size container should Camillo buy?How many of those containers will he need?What will be the total cost of those containers?

Answers

Answer:

1. 32

2. 75

3. 384

Step-by-step explanation:

I did the assignment, on EDGE2020 and got it correct

The charge for a cab ride in one city is modeled by the function f(m)=4+2.5m where m is the number of miles driven. What is the charge for a 12 mile cab ride?

Answers

Answer:

34

Step-by-step explanation:

Plugin 12 for x

f(12)=4+2.5(12)

2.5 times 12=30

30+4=34

4) Simplify: 312 = 34
A
38
B
9.176
33
18

Answers

Answer:

D6td6z6rduyxux7ydy7diyxyixyixuo is a solution of the linear equation 5x and

B 9.176 is the answer

Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)

Answers

Answer:

Step-by-step explanation:

Refer the attached picture for complete question

a) V(x)=x(11-2x)(17-2x)

B(x)=140

Side and volume cannot be negative

So, x> 0

11-2x>0   and 17-2x>0

[tex]x<\frac{11}{2}[/tex] and [tex]x< \frac{17}{2}[/tex]

Domain for V(x) :[tex]0<x<\frac{11}{2}[/tex]

b)For finding the greatest Volume

[tex]\frac{dV}{dx}=0[/tex]

[tex]V(x)=x(11-2x)(17-2x)=4x^3-56x^2+187x[/tex]

[tex]\frac{dV}{dx}=12x^2-112x+187=0\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{112\pm\sqrt{(112)^2-4(12)(187)}}{2(12)}[/tex]

x=7.155 , 2.177

Consider the graph

So, Volume at 7.155 is negative

Thus x≈2 gives the greatest volume

c)

Consider the graph .

It is increasing from [tex]-1 \leq x \leq 2[/tex] and [tex]x \geq 7[/tex]

So, Graph increasing interval is [-1,2] ∪[7,∞)

d)

At the point of intersection, both graph has the same value .

From 24 grams to 96 grams ( percent change )

Answers

Answer:

i think it is 300%

Step-by-step explanation:

Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?



The cost of each can of soda is $
i need this quik and now

Answers

$.40

Step-by-step explanation:

if you want the full one it's .415

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